Topic
Parametric oscillator
About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.
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TL;DR: In this article, the authors examine the possibility of generating squeezed states out of coherent states by external changes of the oscillator frequency and explore the two limiting cases of an adiabatic and a sudden change.
Abstract: The Hilbert space of a harmonic oscillator with frequency ω can be spanned by the overcomplete set of coherent states of a second oscillator with frequency ω'. These states are squeezed states of the first oscillator. We examine the possibility of generating squeezed states out of coherent states by external changes of the oscillator frequency and explore the two limiting cases of an adiabatic and a sudden change. Only the latter results in squeezing, while in the former symmetrical uncertainities in coordinate and momentum turn out to be adiabatic invariants.
56 citations
TL;DR: A system for parametric conversion of high-energy,Q-switched laser pulses from 1.064 microm to 2.1 microm in KTiOPO, using a two-stage system, achieves high beam quality and efficiency.
Abstract: Arisholm, Gunnar; Nordseth, Ornulf; Rustad, Gunnar.
Optical parametric master oscillator and power amplifier for efficient conversion of high-energy pulses with high beam quality. Optics Express 2004 ;Volum 12.(18) s. 4189-4197
56 citations
TL;DR: In this article, a scheme to achieve strong photon antibunching with a degenerate optical parametric amplifier coupled to a cavity via unconventional photon blockade was proposed, where the photon blockade occurs as a result of the suppression of two-photon excitation due to a quantum interference effect between different transition paths.
Abstract: We propose a scheme to achieve a strong photon antibunching with a degenerate optical parametric amplifier coupled to a cavity via unconventional photon blockade. The photon blockade occurs as a result of the suppression of two-photon excitation due to a quantum interference effect between different transition paths. Via analytical calculations, we find out the conditions for optimized photon antibunching in terms of parametric gain and the parametric amplifier pump phase. Calculations of second-order correlation function demonstrate strong photon antibunching. The numerical results are compared with the analytical results and both are in complete agreement. Under the optimal parameters, the system can be used to generate sub-Poissonian light.
56 citations
TL;DR: In this paper, the authors investigated the dynamics of cigar-shaped Bose-Einstein condensates subject to periodic modulation of the strength of the transverse confinement and provided an analytical explanation of the observed parametric resonance, based on a Mathieu-type analysis of the non-polynomial Schr\"odinger equation.
Abstract: Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic modulation of the strength of the transverse confinement. We offer a fully analytical explanation of the observed parametric resonance, based on a Mathieu-type analysis of the non-polynomial Schr\"odinger equation. The theoretical prediction for the pattern periodicity versus the driving frequency is directly compared to the experimental data, yielding good qualitative and quantitative agreement between the two. These results are corroborated by direct numerical simulations of both the one-dimensional non-polynomial Schr\"odinger equation and of the fully three-dimensional Gross-Pitaevskii equation.
56 citations
TL;DR: In this article, the phenomenon of parametric resonance is explained and investigated both analytically and with the help of a computer simulation, for the example of the rotary oscillations of a simple linear system.
Abstract: The phenomenon of parametric resonance is explained and investigated both analytically and with the help of a computer simulation. Parametric excitation is studied for the example of the rotary oscillations of a simple linear system— mechanical torsion spring pendulum excited by periodic variations of its moment of inertia. Conditions and characteristics of parametric resonance and regeneration are found and discussed in detail. Ranges of frequencies within which parametric excitation is possible are determined. Stationary oscillations at the boundaries of these ranges are investigated. The simulation experiments aid greatly an understanding of basic principles and peculiarities of parametric excitation and complement the analytical study of the subject in a manner that is mutually reinforcing.
56 citations